Answer:
angle 1
Step-by-step explanation:
Using the trigonometric mnemonic SOH CAH TOA, we know that cos or cosine is the ratio between the adjacent side and hypotenuse side.
This means that if cos A = 0.48, A is the measure of the angle which it's relative adjacent side divided by the hypotenuse of the triangle will be around 0.48.
Let's try angle 2, cos (angle 2) = adjacent / hypotenuse = 7.8 / 8.9 = 0.876404494382 ≈ 0.87 ≠ 0.48. Since the proportions are not equal, this angle cannot be the one marked as A.
Since angle 3 is a right angle, the adjacent could be either side so it cannot be correct. Thus angle 1 is correct.
Simplify the expression
Answer:
B
Step-by-step explanation:
[tex] \frac{{3}^{5} }{ {3}^{3} } = {3}^{5 - 3} = {3}^{2} = 9 [/tex]
Reflect triangle ABC across the line x = 2. Then the reflect (image) A', B' and C' across the line x = -3.
Answer:
The first reflection makes the points (1,1), (-1,1) and (1,4) and the second reflection changes THOSE to (-7,1) (-5,1) and (-7,4). Just connect the dots to make the triangle.
Let me know if anything did not make sense.
Step-by-step explanation:
Reflect just means how far away is each point to the line of reflection? then ake a new point the sae distance, but in the opposite direction. You always want to use a line that makes a right angle to the line of reflection too, so since x=2 and x=-3 are verticallines you are going to use horizontal lines to measure where A, B and C are.
So the three points are A:(3,1), B:(5,1) and C:(3,4)
Now use a horizontal line to measure how far A, B and C are from x=2.
A is 1 spance to the right of x=2, so A' (what A turns into) is 1 space to the left. so (3,1) becomes (1,1) The y value does not change since you are only using the horizontal direction for reflection. B changes fro (5,1) to (-1,1) and finally C changes from (3,4) to (1,4)
Now the second reflection is the exact same process, but witht he new points reflected across x = -3. So the new points are (-7,1) (-5,1) and (-7,4).
What’s the coordinates for Y-3>2x+2 on a graph?
What equation represents the parabola with focus (-1,4) and directrix y= -2
Answer:
Hello
y=(x+1)/12 +1
Step-by-step explanation:
[tex]\text{As the directrice is horizontal:}\\\\\\y=-2 ==> k=-2\\\\Focus=(a,b)=(-1,4)\\\\\boxed{y=\dfrac{x-a}{2(b-k)} +\dfrac{b+k}{2} }\\\\\\y=\dfrac{x+1}{2(4+2)} +\dfrac{4-2}{2} }\\\\\boxed{y=\dfrac{x+1}{12} +1}\\[/tex]
The difference between interior angle in centesimal measurement and sexagesimal measurement is 15° of a regular polygon. Find the number of sides of the polygon.
Answer:
8
Step-by-step explanation:
x = centesimal angle (100 degrees in a right angle)
y = sexagesimal angle (90 degrees in a right angle)
x - y = 15
x×90/100 = y
x×9/10 = y
x - x×9/10 = 15
10x/10 - 9x/10 = 15
x/10 = 15
x = 150
y = 150×9/10 = 15×9 = 135
using centesimal system :
the sum of all external angles in a polygon is 400 degrees (a full circle).
one external angle is the complement of one internal angle to 200 degrees = 200-150=50 degrees.
to find the number of sides of the polygon we need to find the number of angles or corners. and that is how many external angles fit into the full circle.
n = 400/50 = 8
the polygon has 8 sides
Answer ASAP please!
………
Answer:
47.746, answer choice C
Step-by-step explanation:
47.746
factor and solve problem in picture pleaseeee
I hope it's right have a great day :)
Solve the equation |8y+4|=2|y−1|.
Explain.
[tex]\\ \sf\longmapsto |8y+4|=2|y-1|[/tex]
[tex]\\ \sf\longmapsto 8y+4=2y-1[/tex]
[tex]\\ \sf\longmapsto 8y-2y=-1-4[/tex]
[tex]\\ \sf\longmapsto 6y=-5[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{-5}{6}[/tex]
your outlook on the increasing spread of epidmics
Answer:
increasing spread epidemics your outlook
Evaluate ab+bc+ca . If a²+b²+c²=50 and a+b+c=12
Answer:
ab+bc+ac=47
Step-by-step explanation:
(a+b+c)=12
Square both sides
a^2+b^2+c^2+2(ab+bc+ac)=144
2(ab+bc+ac)=94
ab+bc+ac=47
Answer:
ab + bc + ca = 47
Step-by-step explanation:
Using the algebraic identity
(a + b + c) = a² + b² + c² + 2(ab + bc + ca) , then
12² = 50 + 2(ab + bc + ca)
144 = 50 + 2(ab + bc + ca) ← subtract 50 from both sides
94 = 2(ab + bc + ca) ← divide both sides by 2
47 = ab + bc + ca
quadratics formula 4x^2+3x-1=0
Answer: X = 1/4 or X = -1
Step-by-step explanation:
4x2+3x−1=0
(4x−1)(x+1)=0
4x−1=0 or x+1=0
4x=1 or x=-1
Now divide 4 from both sides
like this 4x/4=1/4
now cancel out two 4's so the answer will be x=1/4
Bob is hired by Company A and is given an annual salary of $35 000 with a 10% raise
after 1 year. Sam is hired by Company B and is paid $3842.42 per month with a 5% raise
after 1 year. Determine the difference of salary after 1 year.
Step-by-step explanation:
Bob's salary : $35000 per year plus 10% after one year
100% = 35000
1% = 100%/100 = 35000/100 = $350
10% = 10×1% = 10×350 = $3500
so in total, his salary will be $35000+$3500 = $38500 after one year.
Sam's salary : $3842.42 per month plus 5% after one year.
100% = $3842.42 per month. but to make it comparable to Bob's salary, we need to calculate the annual salary.
so, 100% 12×3842.42 = $46109.04
1% = 100%/100 = 46109.04/100 = $461.09
5% = 5×1% = 5×461.09 = $2305.45
so, in total, his salary will be $46109.04+$2305.45 = $
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
A sample of 1000 U.S. pediatricians is taken to collect data on medicines used to treat children. The population in this study is ___________________.
A. all U.S. pediatricians
B. the children who are taking medicine
C. the medicine used to treat children
D. the 1000 pediatricians
Answer:
the awnser is d 1000 pediatricians
Divide. Write your answer in simplest form.
−0.18÷0.03=
HI THERE
the answer is -6
#YoghurtCup
Can someone please help me out Its really Important please marking brainliest
Answer:
Q1. Volume of the prism
= 75(20)(14) cm3
=21000 cm3
Volume of the cylinder
= π(75^2)(120)cm3
=2120575cm3 (cor. to nearest int.)
The cylindrical bale has a greater volume.
Q3a. Volume of the pyramid
=(1/3)(40)(64)(64)m3
=54613 m3 (cor. to nearest int.)
Q3b. Volume of air per person
=(1/3)(40)(64)(64)(1/5000) m3
=10.9 m3 (cor to 3 sig fig)
7t + 6 + 3v + 6v
Hey can someone help ne
Answer:
7t + 6 + 9v
Step-by-step explanation:
7t + 6 + 3v + 6v (since 3v and 6v are like terms you will add them both.)
7t + 6 + 9v
Hope this helps, thank you :) !!
Answer:
7t+6+9v
Step-by-step explanation:
7t+6+3v+6v
7t has no opponent it is =7t
6 is on it own =6
3v+6v=9v,reason is 3v has an opponent which is 6v so addition of 3v and 6v is =9v
so ur ans. is =7t+6+9v
someone help me with this
find points a b c
Answer:
<a=32
<b=40
<c=40
Step-by-step explanation:
to find angle a you have to subtract the 50 minus 180 to find the angle close to the 50 because angles in a straight line add up to 180. the answer will be
180-50=130
after finding the angle in that triangle you must add it to the other angle present which is 18° then subtract by 180 because angles in a straight line add up to 180
130+18+a=180
a=180-148
a=32 and that's how you find a
to find b you must know that the angle at the center is twice the angle at the circumference meaning the large angle C is 90°,now if it's 90° inorder to find the big angle B you must add the 18+90 then subtract 180
18+90+B=180
B=180-108
=72
since the combination of angle a and b will give you 72 you can find angle c by subtracting a from 72
c=72-32
=40
then if you look at angle c and angle b you can tell that they are alternating meaning angle b is also 40
I hope this helps
DONT UNDERSTAND THE QUESTION CAN SOMEONE HELP ME!!!
Answer:
246.62007 cm. HTH!
Step-by-step explanation:
A=2AB+(a+b+c)h
AB=s(s﹣a)(s﹣b)(s﹣c)
s=a+b+c
2
Solving forA
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=8·9+5·9+10·9+1
2·﹣84+2·(8·5)2+2·(8·10)2﹣54+2·(5·10)2﹣104≈246.62007
Solve for x.
A) - 9
C) -5
B) -11
D) 10
Answer: D) 10
Step-by-step explanation:
All angles in a triangle adds up to 180°
60° + 50° + 7x = 180°
7x = 180° - 60° - 50° = 180°- 110° = 70°
x = (70 ÷ 7)° = 10°
Its in the picture!!!1
what expressions are equivalent to 5+(-3)(6x-5)
Answer:
Hi!
Step-by-step explanation:
-5 (x-3) + 3(4 - x) + 2x
Let's distribute the -5 within its parentheses.
A negative multiplied by a negative number has a positive result.
Let's distribute the 3 within its parentheses.
-5x+15+12-3x+2x
Combine like terms...
-5x-3x+2x=-6x
15+12=27
-6x+27
Both numbers are divisible by 3...
3(-2x+9)
or -3...
-3(2x-9)
What does 2x+1=3x-4 equal?
Answer:
5
Step-by-step explanation:
2x + 1 = 3x - 4
-2x -2x
--------------------
1 = x - 4
+4 +4
----------------
5 = x
The answer is 5.
Hope this helped.
Given the following coordinates complete the glide reflection transformation.
hopefully this answer can help you to answer the next question.
Johnny has 304 apples, his sister ate 301 of them. How many apples does he have? After His sister ate the apples a magic fairy multiplied the apples by 281893.21 times. Now how many apples does Johnny have. After the faity multiplied the apples a demon can and divided the apples by pi * the square root of 9284. Now how many apples does Johnny have?
Answer:
1. John still has 3 Apples
2. John now has 845679,63 Apples (I'm not sure if you've written the number of the multiplying fairy right...).
3. If the * is multiplying:
John now has 25937228,2 Apples.
Step-by-step explanation:
Just use the calculator.
James is saving 5p and 10p coins. He has 75 coins. The ratio of the 5pto the 10p coins is 1 : 1.5. How much are his coins.
Answer:
the total ratio is 1+1.5=2.5
to get the number of 5p coins you get (1/2.5)*75=30
To get the number of 10p you get
(1.5/2.5)*75=45
so he has 30 5p coins and 45 10p coins so the total value Is given by
(5*30)+(10*45)=600
which expression is equivalent to 2^5/6^5
Answer:
Step-by-step explanation:
I can't give you either B or D, but I can calculate the answer.
2^5
=====
(2^5)(3^5)
The 2^5s cancel out.
1
===
3^5
Another answer could be 3^-5
or
0.004115
Which number line shows the solution set for StartAbsoluteValue 8 minus 2 p EndAbsoluteValue = 6?
A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7.
A number line going from negative 4 to positive 4. Points are at negative 1 and positive 1.
A number line going from negative 8 to positive 8. Points are at negative 7 and positive 7.
A number line going from negative 7 to positive 1. Points are at negative 7 and positive 1.
Answer:
A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7.
Step-by-step explanation:
We have the equation:
|8 - 2*p| = 6
Remember that the equation:
|f(x)| = A
with A > 0
means that:
f(x) = A
or
f(x) = -A
Then for our case, we can rewrite:
|8 - 2*p| = 6
as:
(8 - 2*p) = 6
or
(8 - 2*p) = -6
Now we can solve these two equations to find the two possible values of p.
From the first one, we get:
8 - 2*p = 6
8 - 6 = 2*p
2 = 2*p
2/2 = p = 1
so one solution is p = 1
Now from the other equation, we can get the other solution:
(8 -2*p) = -6
8 - 2*p = -6
8 + 6 = 2*p
14 = 2*p
14/2 = p = 7
So the two solutions are p = 1 and p = 7
Then the correct option is:
"A number line going from negative 1 to positive 7. Points are at positive 1 and positive 7."
3. Find the product, using suitable properties :
a) 26 x (-48) + (-48) x (-36)
b) 625 x (-35) + (-625) x 65
please answer fast 10 marks
a) 26 x (-48) + (-48) x (-36) = ( –1248) + ( + 1728) = – 1248+ 1728 = 480
b) 625 x (-35) + (-625) x 65 = ( –21875) + ( –40625) = – 21875 –40625 = –62500
I hope I helped you^_^
If the triangle on the grid below is translated three units left and nine units down, what are the coordinates of C"?
HELP ME ASAP!!!
two angles are supplementary. one angle is three less than 4 times it's supplement. what are the measures of the two angles?
Step-by-step explanation:
Two angles are supplementary one angle is 4 degrees less than three times the other find the measures of the angles
x + y = 180
x = 3y - 4
3y - 4 + y = 180
4y = 184
y = 46
x = 134
Answer:
30°,150°
Step-by-step explanation: